Is it possible to emulate the Gamecube controller perfectly?

[Stefan]

Thank you for sharing this info with me, this is exactly what I needed.

Now that I have my radius set, I am interested in fine tuning my threshold values.
Do you have any tips for figuring what value I should use for threshold?
Also is square stick necessary for a Gamecube controller?

I am also experiencing issues with my rumble feature in Dolphin. I can test rumble just fine in Windows control panel but when I go to enable rumble on Dolphin it is blank.